The BHP is a beautiful and functional weapon. It is a tad easier to conceal, but has some downsides.
The trigger MAY get pretty good after removing the mag safety. Maybe not. I did on mine, and it is a tad inconsistent. Sometimes it breaks light and clean and sometimes it is a bit stiff, and stages slightly. You need to know a REALLY good smith - who knows HPs.
Even B triggers are MORE shootable 90% of the time than the BHP - if nothing else, because in SA they are lighter. Also, the tiny and SHARP beavertail on my HP (MKIII) bites me. IF I refinished the frame, I would dehorn it there. I believe that the ergos of the CZ would be better for MOST shooters. The CZ is a tad larger and heavier, but not by much, and the CZ compact has the same capacity, is smaller, and about the same weight - AND more concealable. It is also a bit more versatile so you can do DA/SA, and you always have double strike capability. The CZ (PreB) also beats it in trigger reset. (The Canik beats them ALL - its almost Glock-like in reset).
Unlike the late GREAT Stephen Camp, if I had ONE, it would be a CZ, and in my case, my Avatar - a Transitional with an OTB trigger that is superb.